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    GCF (HCF) of 75 and 135

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 75 and 135?

    Answer

    GCF (HCF) of 75 and 135 is
    15

    Common factors: 1, 3, 5, 15

    15 divides both: 75 ÷ 15 = 5, 135 ÷ 15 = 9 — and 5 and 9 share no factor but 1, so no larger number divides both.

    75 = 3 × 52

    135 = 33 × 5

    Prime75135Lowest power
    33333
    55255

    GCF = 3 × 5 = 15

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    What is the GCF (HCF) of 75 and 135. The GCF of 75 and 135 is 15 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    GCF Table

    Number 1Number 2GCF
    7512015
    751211
    751221
    751233
    751241
    7512525
    751263
    751271
    751281
    751293
    751305
    751311
    751323
    751331
    751341
    7513515
    751361
    751371
    751383
    751391
    751405
    751413
    751421
    751431
    751443
    751455
    751461
    751473
    751481
    751491

    FAQ

    What is the Greatest Common Divisor of 75 and 135?

    GCF (HCF) of 75 and 135 is 15

    How to find the GCF of 75 and 135?

    You can find the GCF of 75 and 135 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 135 is 15.

    What prime factors do 75 and 135 share?

    The prime factorizations of 75 and 135 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

    How does the GCF reduce the fraction 75/135?

    Divide the numerator and the denominator by the GCF 15: 75 ÷ 15 = 5 and 135 ÷ 15 = 9. So 75/135 in lowest terms is 5/9.

    See Also